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Finding the Fourth Proportional to 14,633.84, 21,931.32 and 8,396.84

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Solution

The fourth proportional to 14,633.84, 21,931.32 and 8,396.84 is: 12,584.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,633.84 : 21,931.32 = 8,396.84 : x
  2. Step 2: Convert to fraction form
    14,633.84/21,931.32 = 8,396.84/x
  3. Step 3: Cross multiply
    14,633.84x = 21,931.32 × 8,396.84
  4. Step 4: Simplify right side
    14,633.84x = 184,153,785.03
  5. Step 5: Solve for x
    x = 184,153,785.03/14,633.84
  6. Step 6: Final answer
    x = 12,584.11

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.